"INDIANAPOLIS, July 12.—(UPI) —The Indianapolis Indians today
announced the signing of a new pitcher as Manager Ted Beard attempted to push
his sagging team from the American Association cellar. Tom Qualters, 25 years
old a right-hander, was signed as a free agent. He was released by the Houston
team, where he had a 3-2 record and an earned run average of 5.57, appearing in
nine games in relief."

So the correct timeline is San Diego, then Houston, then Indianapolis. We don't know how he got to San Diego or Houston yet, but we at least know the order.

Various sources indicate that Qualters started 1961 in Indianapolis, then went to Dallas, tried to retire, and went instead to single A Williamsport to player-coach for awhile before finally cashing it in.

So we have a lot of questions to resolve about Qualters' last two seasons!